Based on a poll, 68% of Internet users are more careful about personal information when using a public Wi-Fi hotspot. What is the probability that among fourfour randomly selected Internet users, at least one is more careful about personal information when using a public Wi-Fi hotspot? How is the result affected by the additional information that the survey subjects volunteered to respond?

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05-03-2017
Mathematics

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Based on a poll, 68% of Internet users are more careful about personal information when using a public Wi-Fi hotspot. What is the probability that among fourfour randomly selected Internet users, at least one is more careful about personal information when using a public Wi-Fi hotspot? How is the result affected by the additional information that the survey subjects volunteered to respond?

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TheLittlestFLute TheLittlestFLute · Answer 1 · 2017-03-05T20:33:28-05:00

Here X ≡ Number of internet users who are more careful about their personal info when using a public Wi-Fi hotspot.
X ~ Binomial Distribution with parameters n = 5, p = 0.68
P (among 5 randomly selected internet users, at least 1 is more careful about their personal info. when using public wifi hotspot)
= P (X>=1)
= 1 - P (X = 0)
=1 - 0.003355443
= 0.996644557
= 0.9966 (approx.)
The results could vary depending on what information the subject chose to give so the number may not be exact